A meshless Galerkin least-square method for the Helmholtz equation

作者：He Zeng; Li Peng^*; Zhao Gaoyu; Chen Han

来源：Engineering Analysis with Boundary Elements, 2011, 35(6): 868-878.

DOI：10.1016/j.enganabound.2011.01.010

• Acoustics
• Meshless
• Least-square
• Dispersion
• Helmholtz equation

The Helmholtz equation always suffers the so-called 'pollution effect', which is directly related to the dispersion for high wavenumber. The element-free Galerkin method (EFGM) has been successfully applied to acoustic problems and significantly reduced the dispersion error. Unfortunately, it is computationally expensive. In this paper, a two-dimensional (2-D) dispersion analysis is performed on the meshless Galerkin least-square (MGLS) method. This method is based on the EFGM at the domain boundary and the least-square method in the interior. Numerical examples on an L-shaped cavity demonstrate that while retaining the accuracy of the EFGM, the computational cost can be significantly reduced.

• 出版日期2011-6
• 单位华中科技大学